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(a) Write the rate expression. (b) Find ...

(a) Write the rate expression. (b) Find the rate constant for
`{:([A]_(0),[B]_(0),,,"`R_(0)` "Rate" (mol litre^(-1) s^(-1))),(0.1,0.2,,,0.05),(0.2,0.2,,,0.10),(0.1,0.1,,,0.05):}`

Text Solution

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Rate `=K[A]^(m)[B]^(n)` where `m, n` are order of reaction with respect to `A` and `B` respectively. `K` is rate constant.
`:. 0.05=K[0.1]^(m)[0.2]^(n) …(1)`
`0.10=K[0.2]^(m)[0.2]^(n) …(2)`
`0.05=K[0.1]^(m)[0.1]^(n) …(3)`
By eqs. (1) and (2), `m=1`
By eqs. (1) and (3), `n=0`
`:. Rate=K[A]^(1)[B]^(0)`
or `0.05=K[0.1]^(1)`
or `K=0.5 sec^(-1)`
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